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vitfil [10]
2 years ago
9

What is the absolute value of the complex number -4-√2i?

Mathematics
2 answers:
Leni [432]2 years ago
8 0

<u>Answer-</u>

<em>The absolute value of the complex number is 3\sqrt2</em>

<u>Solution-</u>

The given complex number is,

=-4-\sqrt2i

The absolute value or modulus of a complex number a+bi, is defined as the distance between the origin (0,0) and the point (a,b) in the complex plane.

Its value is calculated by,

|a+bi|=\sqrt{a^2+b^2}

So,

|-4-\sqrt2i|\\\\=\sqrt{(-4)^2+(-\sqrt2)^2}\\\\=\sqrt{16+2}\\\\=\sqrt{18}\\\\=3\sqrt2

nataly862011 [7]2 years ago
4 0
Hello : 
| -4-√2i | = √((-4)² +(-√2)²) =√(16+2) =√18 = √(9×2) = √9 × √2 = 3<span>√2.. (answer B)</span>
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